GCF of 9936/577, 7020/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9936/577, 7020/586 i.e 108/338122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9936/577, 7020/586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9936/577,7020/586?
Given fractions are 9936/577,7020/586
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9936/577,7020/586, numerators are 9936,7020
Denominators are 577,586
The GCF of 9936,7020 is 108 .
LCM of 577,586 is 338122.
The greatest common factor of 9936/577,7020/586 = [GCF of 9936,7020]/[LCM of 577,586]= 108/338122
Therefore, the GCF of 9936/577,7020/586 is 108/338122.
To find the highest common factor of 9936,7020, we have to find the factors of both numbers and list the highest common factor.
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The HCF of 9936,7020 is 108.
Lets's calculate GCF of 9936,7020
| 2 | 9936, 7020 |
| 2 | 4968, 3510 |
| 3 | 2484, 1755 |
| 3 | 828, 585 |
| 3 | 276, 195 |
| 92, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108
Greatest Common Factor of 9936,7020 By Matching Biggest Common Factor Method
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Greatest Common Factor
We found the factors 9936,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 9936,7020 is 108.
Lets's calculate LCM of 577,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 338122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/338122
Therefore, the GCF of Fractions 9936/577,7020/586 is 108/338122
Least Common Multiple of 577,586 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 577,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,586) x common factors =1 x 1 = 1
LCM(577,586) = ( 577 × 586 ) / 1
LCM(577,586) = 338122 / 1
LCM(577,586) = 338122
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9936/577, 7020/586
1. What is the HCF of 9936,7020?
The HCF of 9936,7020 is 108
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9936/577, 7020/586?
Answer: GCF of Numerators as per given numbers 9936/577, 7020/586 is
GCF of Numerators i.e. for 9936,7020 is 108
LCM of denominators i.e. for 577,586 is 338122.
Thus, GCF of Fractions is 108/338122.Finally, GCF of Fractions for 9936/577, 7020/586 is 108/338122.